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21132111123112 = 2311259370011751
BaseRepresentation
bin1001100111000001100111…
…11110100001001010101000
32202211012200011021100020111
410303200303332201022220
510232212030421414422
6112535542520304104
74310513261550103
oct463406376411250
982735604240214
1021132111123112
1168080948a8100
122453665312034
13ba3998937a72
14530b2a2b373a
15269a64973a77
hex133833fa12a8

21132111123112 has 48 divisors (see below), whose sum is σ = 44290406714400. Its totient is φ = 9442699860000.

The previous prime is 21132111123083. The next prime is 21132111123113.

21132111123112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211321111231122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21132111123113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184948764 + ... + 185062987.

It is an arithmetic number, because the mean of its divisors is an integer number (922716806550).

Almost surely, 221132111123112 is an apocalyptic number.

21132111123112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21132111123112 is an abundant number, since it is smaller than the sum of its proper divisors (23158295591288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21132111123112 is a wasteful number, since it uses less digits than its factorization.

21132111123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370011838 (or 370011823 counting only the distinct ones).

The product of its digits is 144, while the sum is 22.

It can be divided in two parts, 2113211 and 1123112, that added together give a palindrome (3236323).

The spelling of 21132111123112 in words is "twenty-one trillion, one hundred thirty-two billion, one hundred eleven million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 59 88 118 121 236 242 472 484 649 968 1298 2596 5192 7139 14278 28556 57112 370011751 740023502 1480047004 2960094008 4070129261 8140258522 16280517044 21830693309 32561034088 43661386618 44771421871 87322773236 89542843742 174645546472 179085687484 240137626399 358171374968 480275252798 960550505596 1921101011192 2641513890389 5283027780778 10566055561556 21132111123112